{
  "id": "2207.08607",
  "version": "v1",
  "published": "2022-07-18T13:54:23.000Z",
  "updated": "2022-07-18T13:54:23.000Z",
  "title": "The asymptotic behaviour of $p$-capacitary potentials in Asymptotically Conical manifolds",
  "authors": [
    "Luca Benatti",
    "Mattia Fogagnolo",
    "Lorenzo Mazzieri"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We study the asymptotic behaviour of the $p$-capacitary potential and of the weak Inverse Mean Curvature Flow of a bounded set along the ends of an Asymptotically Conical Riemannian manifolds with asymptotically nonnegative Ricci curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-18T13:54:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58K55",
      "53E10",
      "31C12"
    ],
    "keywords": [
      "capacitary potential",
      "asymptotically conical manifolds",
      "asymptotic behaviour",
      "weak inverse mean curvature flow",
      "asymptotically nonnegative ricci curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}